# School of Mathematics

## Dr Martin Lopez-Garcia

Lecturer

Applied Mathematics

### Contact details

Room: 9.306

Tel: +44 (0)113 3438951

Email: M.LopezGarcia @ leeds.ac.uk

### Keywords

Stochastic Processes

Markov Chains

Population Dynamics

Epidemiology

Immunology

Cell Signalling

Matrix-analytic Methods

Stochastic Descriptors

## Research interests

Dr López-García is a Lecturer in the School of Mathematics at the University of Leeds, and an MRC fellow, being the PI for the MRC funded project

"Mathematical modelling of the emergence and spread of antibiotic resistant bacteria in healthcare settings: a stochastic approach"

In this project, the main aim is to develop new stochastic models (and new mathematical tools for analysing them) regarding the spread of bacteria in hospital settings. Our aim is to identify the most probable routes of bacterial spread in these settings, and to identify the most effective control strategies that can be applied, by using hospital data and Bayesian statistical techniques for parameter estimation.

Dr. López-García belongs to the Mathematical Biology and Medicine Group at the University of Leeds and to the Stochastic Modelling Group (Complutense University of Madrid, Spain), carrying out research in the application of stochastic processes in Mathematical Epidemiology, Immunology and Population Dynamics.

### Useful links

Personal web page

Google Scholar web page

## Publications

**Artalejo JR, Gómez-Corral A, Lopez-Garcia M, Molina-París C** Stochastic descriptors to study the fate and potential of naive T cell clonotypes in the periphery *Journal of Mathematical Biology*, **74**, 673-708, 2017

DOI:10.1007/s00285-016-1020-6

View abstract

**Gomez-Corral A, Lopez Garcia M** On SIR epidemic models with generally distributed infectious periods: number of secondary cases and probability of infection *International Journal of Biomathematics*, **10**, 2017

DOI:10.1142/S1793524517500243

View abstract

**López-García M** Erratum to Stochastic descriptors in an SIR epidemic model for heterogeneous individuals in small networks [Mathematical Biosciences 271 (2016) 42-61] *Mathematical Biosciences*, **276**, 164, 2016

DOI:10.1016/j.mbs.2016.03.005

**López-García M** Stochastic descriptors in an SIR epidemic model for heterogeneous individuals in small networks *Mathematical Biosciences*, **271**, 42-61, 2016

DOI:10.1016/j.mbs.2015.10.010

View abstract

**Gómez-Corral A, López-García M** Lifetime and reproduction of a marked individual in a two-species competition process *Applied Mathematics and Computation*, **264**, 223-245, 2015

DOI:10.1016/j.amc.2015.04.061

View abstract

**Economou A, Gomez Corral A, Lopez Garcia M** A stochastic SIS epidemic model with heterogeneous contacts. *Physica A: Statistical Mechanics and its Applications*, **421**, 78-97, 2015

DOI:10.1016/j.physa.2014.10.054

View abstract

**Gómez-Corral A, López García M** Control strategies for a stochastic model of host-parasite interaction in a seasonal environment. *J Theor Biol*, **354**, 1-11, 2014

DOI:10.1016/j.jtbi.2014.03.021

View abstract

**Gomez-Corral A, Lopez Garcia M** Maximum queue lengths during a fixed time interval in the M/M/c retrial queue. *Applied Mathematics and Computation*, 2014

DOI:10.1016/j.amc.2014.02.074

**Gómez-Corral A, López García M** Modeling host-parasitoid interactions with correlated events *Applied Mathematical Modelling*, **37**, 5452-5463, 2013

DOI:10.1016/j.apm.2012.10.035

View abstract

**Gómez-Corral A, López García M** Maximum population sizes in host-parasitoid models *International Journal of Biomathematics*, **6**, 2013

DOI:10.1142/S1793524513500022

View abstract

**Gómez-Corral A, López García M** On the number of births and deaths during an extinction cycle, and the survival of a certain individual in a competition process *Computers and Mathematics with Applications*, **64**, 236-259, 2012

DOI:10.1016/j.camwa.2012.01.058

View abstract

**Gomez-Corral A, Lopez Garcia M** Extinction times and size of the surviving species in a two-species competition process *Journal of Mathematical Biology*, **64**, 255-289, 2012

© Copyright Leeds 2011